ScalingStacks

[00DW]

Example 7.1.7. ([Lur17, § 2.4.3]).

For any \(\infty\)-category \(\mathcal C\), there is a unital \(\infty\)-operad \(\mathcal C_{\sqcup}\) with underlying \(\infty\)-category \(\mathcal C\) and multi-ary mapping spaces \[\mathrm{Mul}_{\mathcal C_{\sqcup}}(X_1, \ldots, X_n; Y) \simeq \mathrm{Hom}_{\mathcal C}(X_1, Y) \times \cdots \mathrm{Hom}_{\mathcal C}(X_n, Y)\]

Original mathematics by the credited authors. Source collection and HTML conversion remain in progress.

Yu Leon Liu, Aaron Mazel-Gee, David Reutter, Catharina Stroppel, Paul Wedrich

Original source: arXiv:2401.02956v2

Original source · 2401.02956v2